实Banach空间中一致L-Lipschitzian渐近半压缩映象具误差的迭代序列的收敛性(英文)  

Convergence of Iterative Sequences for Uniformly L-Lipschitzian Asymptotically Demicontractive Mappings with Errors in Real Banach Spaces

作　　者：倪仁兴[1] 章月红[1] 

机构地区：[1]绍兴文理学院数学系,绍兴312000

出　　处：《工程数学学报》2007年第1期163-167,共5页Chinese Journal of Engineering Mathematics

基　　金：The National Natural Science Foundation of China(10271025);The Natural Science Foundation of Zhejiang Province(102002);The Key Scientific Research Foundation of Zhejiang Province Education Committed(20061154).

摘　　要：讨论了任意实Banach空间中一致L-Lipschitian渐近半压缩映象的不动点的具误差的Ishikawa迭代序列的逼近问题,所得结果是Sun Zhaohong等人的最近结果的改进和推广。Discussed in this paper are the approximation problems of Ishikawa iteration with errors of fixed points for uniformly L-Lipsehitzian asymptotically demicontractive mappings in arbitrary real Banach spaces. Obtained results improve and extend the corresponding recent results of Su Zhaohong et al. and the other authors.

关 键 词：一致L-Lipschitzian k-严格渐近伪压缩映象 渐近半压缩映象 迭代序列 不动点 

分 类 号：O177.91[理学—数学]